Analyzing morphological characters in a phylogenetic context comprises two steps, character analysis and cladistic analysis, which are equivalent to two independent tests for hypotheses on homology. The concept of homology concerns comparable parts of the same or different organisms if their correspondences are the consequence of the same genetic or epigenetic information, and consequently of the same origin. The concept of homology is more inclusive than the character concept. Characters are seen as parts of transformation series. In the first step of morphological character analyses correspondences and non-correspondences between two characters are analyzed. A range of different examination methods and accurate study contribute to the severity of test. The hypothesis that two characters are homologous is corroborated if the correspondences outweigh the non-correspondences because the non-correspondences contradict the homology hypothesis whereas the correspondences contradict the analogy hypothesis. Complex characters possess a higher empirical content than less complex characters because they are more severely testable. The cladistic analysis tests characters against other characters which have all passed the first test. Characters which are congruent with the most parsimonious topology are further corroborated; incongruent characters are not seen as 'falsified' but as not further corroborated and subject to re-analysis. To test both homologies and topologies repeatedly is consistent with Popperian testability, and it is in such cycles of research that hypotheses will be critically re-evaluated.